{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Angle vs. Image Height - Through Field\n",
    "\n",
    "Represents an analysis of incident angle vs. image height by varying through all image field coordinates (Hx, Hy) for a given pupil field point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import optiland.backend as be\n",
    "from optiland.analysis import FieldIncidentAngleVsHeight\n",
    "from optiland.optic import Optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤═══════════════╤═══════════════════╤══════════╤═════════════╤════════════╤═════════╤═════════════════╕\n",
      "│    │ Type          │ Comment           │   Radius │   Thickness │ Material   │   Conic │   Semi-aperture │\n",
      "╞════╪═══════════════╪═══════════════════╪══════════╪═════════════╪════════════╪═════════╪═════════════════╡\n",
      "│  0 │ Planar        │ telecentric beam  │    inf   │       inf   │ Air        │       0 │          1.5    │\n",
      "│  1 │ Stop - Planar │ scan mirror       │    inf   │       153.2 │ Air        │       0 │          1.5    │\n",
      "│  2 │ Planar        │ PCX front surface │    inf   │         5   │ N-SF11     │       0 │         20.3106 │\n",
      "│  3 │ Standard      │ PCX back surface  │   -122.3 │       157.8 │ Air        │       0 │         20.6557 │\n",
      "│  4 │ Planar        │ image plane       │    inf   │       nan   │ Air        │       0 │         19.2864 │\n",
      "╘════╧═══════════════╧═══════════════════╧══════════╧═════════════╧════════════╧═════════╧═════════════════╛\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = Optic(name=\"Simple Scan Optic\")\n",
    "lens.add_wavelength(value=0.63, is_primary=True)\n",
    "lens.add_surface(index=0, thickness=be.inf, comment=\"telecentric beam\")\n",
    "lens.add_surface(index=1, thickness=153.2, is_stop=True, comment=\"scan mirror\")\n",
    "lens.add_surface(\n",
    "    index=2, thickness=5, radius=be.inf, material=\"N-SF11\", comment=\"PCX front surface\"\n",
    ")\n",
    "lens.add_surface(index=3, thickness=157.8, radius=-122.3, comment=\"PCX back surface\")\n",
    "lens.add_surface(index=4, comment=\"image plane\")\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=3)\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=7)\n",
    "lens.info()\n",
    "_ = lens.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "angle_vs_height = FieldIncidentAngleVsHeight(lens)\n",
    "angle_vs_height.view()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
